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June 2009 A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups
Fuminori Tasaka
Osaka J. Math. 46(2): 327-352 (June 2009).

Abstract

Harris proved that there is an indecomposable bimodule with a trivial source which induces a Morita equivalence between Glauberman-Watanabe corresponding block algebras of finite groups with normal defect groups and the Glauberman correspondence of characters in corresponding blocks. We note an implication of the Puig correspondence in the conext of the Glauberman-Watanabe correspondence and then, using this, show Harris's theorem in two ways.

Citation

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Fuminori Tasaka. "A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups." Osaka J. Math. 46 (2) 327 - 352, June 2009.

Information

Published: June 2009
First available in Project Euclid: 19 June 2009

zbMATH: 1202.20014
MathSciNet: MR2549590

Subjects:
Primary: 20C20
Secondary: 20C05

Rights: Copyright © 2009 Osaka University and Osaka City University, Departments of Mathematics

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Vol.46 • No. 2 • June 2009
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